Seminario di Equazioni Differenziali e Applicazioni: “Backward Uniqueness for the Heat Equation in Conical Domains”

Giovedì 8 Giugno 2017, ore 12:00 11:00 - Aula 2BC30 - Angkana Ruland


Giovedì 8 Giugno 2017 alle ore 12:00 11:00 in Aula 2BC30, Angkana Ruland (University of Oxford) terrà un seminario dal titolo “Backward Uniqueness for the Heat Equation in Conical Domains”.

In this talk I will present backward uniqueness results for the heat equation in conical domains, improving previous results of Sverak and Li. Moreover, under additional assumptions on the initial data the optimal angular dependence is shown. After reviewing the different behavior of the heat equation in bounded and unbounded domains and illustrating the underlying difficulties, the central Carleman estimate will be discussed.

Rif. Int. M. Bardi, C. Marchi, L. Caravenna

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